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Finding the Fourth Proportional to 37,353, 56,030.58 and 9,651

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Solution

The fourth proportional to 37,353, 56,030.58 and 9,651 is: 14,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,353 : 56,030.58 = 9,651 : x
  2. Step 2: Convert to fraction form
    37,353/56,030.58 = 9,651/x
  3. Step 3: Cross multiply
    37,353x = 56,030.58 × 9,651
  4. Step 4: Simplify right side
    37,353x = 540,751,127.58
  5. Step 5: Solve for x
    x = 540,751,127.58/37,353
  6. Step 6: Final answer
    x = 14,476.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.